Evaluation of associated and non-associated quadratic plasticity models for advanced high strength steel sheets under multi-axial loading

The accuracy of quadratic plane stress plasticity models is evaluated for a dual phase and a TRIP-assisted steel. Both sheet materials exhibit a considerable direction-dependence of the r-ratio while the uniaxial stress–strain curves are approximately the same irrespective of the specimen direction....

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Bibliographic Details
Published in:International journal of plasticity 2010-07, Vol.26 (7), p.939-956
Main Authors: Mohr, Dirk, Dunand, Matthieu, Kim, Keun-Hwan
Format: Article
Language:English
Subjects:
Accuracy
Dual phase steel
Engineering Sciences
Exact sciences and technology
Finite strain
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Materials and structures in mechanics
Mathematical models
Mechanics
Multi-axial testing
Physics
Plasticity
Sheet material
Sheet metal
Solid mechanics
Static elasticity (thermoelasticity...)
Stress strain curves
Stress-strain relationships
Structural and continuum mechanics
Structural steels
TRIP steel
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Summary:The accuracy of quadratic plane stress plasticity models is evaluated for a dual phase and a TRIP-assisted steel. Both sheet materials exhibit a considerable direction-dependence of the r-ratio while the uniaxial stress–strain curves are approximately the same irrespective of the specimen direction. Isotropic and anisotropic associated as well as non-associated quadratic plasticity models are considered to describe this behavior. Using a newly-developed dual-actuator system, combinations of normal and tangential loads are applied to a flat specimen in order to characterize the sheet material response under more than 20 distinct multi-axial loading states. The comparison of the experimental results with the plasticity model predictions reveals that both the associated and non-associated quadratic formulations provide good estimates of the stress–strain response under multi-axial loading. However, the non-associated model is recommended when an accurate description of the thinning behavior is important. Moreover, a structural validation example is presented that demonstrates the higher prediction accuracy of the non-associated plasticity model.
ISSN:0749-6419
1879-2154
DOI:10.1016/j.ijplas.2009.11.006